In your own words describe how to determine -Whether two samples are independent
ID: 3132863 • Letter: I
Question
In your own words describe how to determine
-Whether two samples are independent or dependent
-Whether 1 and 2 are known or unknown
Match the four scenarios with the four different types of two sample hypothesis tests
Hypothesis test for differences between Means (Independent Samples, 1 and 2 Known)
Hypothesis test for differences between Means (Independent Samples, 1 and 2 Unknown)
Hypothesis test for differences between Means (Dependent Samples)
Hypothesis test for differences between Proportions
Here are four different scenarios involving hypothesis testing:
According to a recent study, the mean cost of a 3 bedroom home costs less in Ohio than in Alabama. You think this information is incorrect. You randomly select 35 homes in each state. In Ohio, the mean cost is $137,400. In Alabama, the mean cost is $135,900. From past studies, the population standard deviation for 3 bedroom homes in Ohio is $3200 and in Alabama is $2800. Is there enough evidence to support your claim at = 0.05?
A medical research team conducted a study to test whether a drug lowers the chance of getting diabetes. In the study, 2623 people took the drug and 17.1% got diabetes. Also, 2646 people took a placebo and 18.5% got diabetes. At = 0.05, can you support the claim that the drug lowers the chance of getting diabetes?
According to a recent study, the mean cost of a 3 bedroom home costs less in Ohio than in Alabama. You think this information is incorrect. You randomly select 35 homes in each state. In Ohio, the mean cost is $137,400 and the standard deviation is $3200. In Alabama, the mean cost is $135,900 and the standard deviation is $2800. Is there enough evidence to support your claim at = 0.05?
A scientist claims that a new diet pill causes weight loss in men. The table shows the weights (in pounds) of six men before taking the diet pill and then one week after taking the diet pill. Is there enough evidence to reject the claim at = 0.05?
Explanation / Answer
According to a recent study, the mean cost of a 3 bedroom home costs less in Ohio than in Alabama. You think this information is incorrect. You randomly select 35 homes in each state. In Ohio, the mean cost is $137,400. In Alabama, the mean cost is $135,900. From past studies, the population standard deviation for 3 bedroom homes in Ohio is $3200 and in Alabama is $2800. Is there enough evidence to support your claim at = 0.05?
Here popualiton standard deviations are known and both samples are independent so Hypothesis test for differences between Means (Independent Samples, 1 and 2 Known) will be used.
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A medical research team conducted a study to test whether a drug lowers the chance of getting diabetes. In the study, 2623 people took the drug and 17.1% got diabetes. Also, 2646 people took a placebo and 18.5% got diabetes. At = 0.05, can you support the claim that the drug lowers the chance of getting diabetes?
Here we have two independent samples and we know the proprotions of two samples so Hypothesis test for differences between Proportions will be used.
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According to a recent study, the mean cost of a 3 bedroom home costs less in Ohio than in Alabama. You think this information is incorrect. You randomly select 35 homes in each state. In Ohio, the mean cost is $137,400 and the standard deviation is $3200. In Alabama, the mean cost is $135,900 and the standard deviation is $2800. Is there enough evidence to support your claim at = 0.05?
Here we have two indepepdent samples and standard deviations of the samples are known. Since population standard devaitions is unknown so Hypothesis test for differences between Means (Independent Samples, 1 and 2 Unknown) is correct.
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A scientist claims that a new diet pill causes weight loss in men. The table shows the weights (in pounds) of six men before taking the diet pill and then one week after taking the diet pill. Is there enough evidence to reject the claim at = 0.05?
Since here we have 6 pairs of observed data so paired sample test will be used. that is option Hypothesis test for differences between Means (Dependent Samples) is correct.